If each interior angle of a regular polygon is 150- how many sides does this polygon have- -3 MARKS-

Concept: 1 Mark Application: 2 Marks Each interior angle of the polygon =150^∘ Each exterior angle of the polygon =(180^∘ 150^∘)=30^∘ ∴ Number of sides of th ...

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Standard VIII

Mathematics

Interior Angle in a Regular Polygon

If each inter...

Question

If each interior angle of a regular polygon is $150^{\circ}$ , how many sides does this polygon have? [3 MARKS]

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Solution

Concept: 1 Mark
Application: 2 Marks

Each interior angle of the polygon
$= 150^{\circ}$

Each exterior angle of the polygon
$= (180^{\circ} - 150^{\circ}) = 30^{\circ}$

$∴$ Number of sides of this polygon
$= \frac{360^{\circ}}{30^{\circ}} = 12$

Hence, Number of sides = 12

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If each interior angle of a regular polygon is 150∘, how many sides does this polygon have? [3 MARKS]

Concept: 1 Mark Application: 2 Marks Each interior angle of the polygon =150∘ Each exterior angle of the polygon =(180∘−150∘)=30∘ ∴ Number of sides of this polygon =360∘30∘=12 Hence, Number of sides = 12

If each interior angle of a regular polygon is $150^{\circ}$ , how many sides does this polygon have? [3 MARKS]

Concept: 1 Mark
Application: 2 Marks

Each interior angle of the polygon
$= 150^{\circ}$

Each exterior angle of the polygon
$= (180^{\circ} - 150^{\circ}) = 30^{\circ}$

$∴$ Number of sides of this polygon
$= \frac{360^{\circ}}{30^{\circ}} = 12$

Hence, Number of sides = 12